AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY
AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY
复制标题
DOI：
10.1142/s0218202511005556
复制
发表时间：
2011-10
影响因子：
3.5
通讯作者：
Xianmin Xu;Duvan Henao
中科院分区：
文献类型：
--
作者：
Xianmin Xu;Duvan Henao
本文对非线性弹性中的空化问题进行了数值计算。用Crouzeix-Raviart非协调有限元方法解决了传统有限元近似引起的网格退化问题。在弹性能上增加适当的稳定项后，该方法被用来求解径向对称和非径向对称情况下的空化问题。虽然径向对称的例子用于说明方法的效率，并且出于验证的目的，但使用非中心和多个空腔的实验(第一次进行)对可能导致空穴合并的情况产生了新的观察结果。
This paper is concerned with the numerical computation of cavitation in nonlinear elasticity. The Crouzeix–Raviart nonconforming finite element method is shown to prevent the degeneration of the mesh provoked by the conventional finite element approximation of this problem. Upon the addition of a suitable stabilizing term to the elastic energy, the method is used to solve cavitation problems in both radially symmetric and non-radially symmetric settings. While the radially symmetric examples serve to illustrate the efficiency of the method, and for validation purposes, the experiments with non-centered and multiple cavities (carried out for the first time) yield novel observations of situations potentially leading to void coalescence.